Eigenfunctions of Transfer Operators and Automorphic Forms for Hecke Triangle Groups of Infinite Covolume

Roelof Bruggeman, Anke Dorothea Pohl (Autoren)

Buch | Softcover

172 Seiten

2023
American Mathematical Society (Verlag)
978-1-4704-6545-2 (ISBN)

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We develop cohomological interpretations for several types of automorphic forms for Hecke triangle groups of infinite covolume. We then use these interpretations to establish explicit isomorphisms between spaces of automorphic forms, cohomology spaces and spaces of eigenfunctions of transfer operators. These results show a deep relation between spectral entities of Hecke surfaces of infinite volume and the dynamics of their geodesic flows.

Roelof Bruggeman, Universiteit Utrecht, The Netherlands. Anke Dorothea Pohl, University of Bremen, Germany.

Erscheinungsdatum	19.08.2023
Reihe/Serie	Memoirs of the American Mathematical Society
Verlagsort	Providence
Sprache	englisch
Maße	178 x 254 mm
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Geometrie / Topologie
ISBN-10	1-4704-6545-0 / 1470465450
ISBN-13	978-1-4704-6545-2 / 9781470465452
Zustand	Neuware